Find the square of -3-2

The correct option is D 5+2√(6) The square of √(3) + √(2) is (√(3) + √(2))^2 Using (a+b)^2=a^2+b^2+2ab, we get (√(3) + √(2))^2=3+2+2×√(3)×√(2) = 5+2√(6) ...

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Byju's Answer

Standard IX

Mathematics

Operations on Irrational Numbers

Find the squa...

Question

Find the square of $\sqrt{3} + \sqrt{2}$

$5 - 2 \sqrt{6}$

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$15 + 2 \sqrt{6}$

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$5 + 2 \sqrt{6}$

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$5 + 2 \sqrt{2}$

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Solution

The correct option is C
$5 + 2 \sqrt{6}$

The square of $\sqrt{3} + \sqrt{2}$ is $(\sqrt{3} + \sqrt{2})^{2}$

Using $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ , we get

$(\sqrt{3} + \sqrt{2})^{2} = 3 + 2 + 2 \times \sqrt{3} \times \sqrt{2}$

$= 5 + 2 \sqrt{6}$

Suggest Corrections

Find the square of √3+√2

The correct option is C 5+2√6 The square of √3+√2 is (√3+√2)2 Using (a+b)2=a2+b2+2ab, we get (√3+√2)2=3+2+2×√3×√2 =5+2√6

Find the square of $\sqrt{3} + \sqrt{2}$

The correct option is C
$5 + 2 \sqrt{6}$

The square of $\sqrt{3} + \sqrt{2}$ is $(\sqrt{3} + \sqrt{2})^{2}$

Using $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ , we get

$(\sqrt{3} + \sqrt{2})^{2} = 3 + 2 + 2 \times \sqrt{3} \times \sqrt{2}$

$= 5 + 2 \sqrt{6}$